Information Geometry and its Applications III

Abstract Hiroshi Nagaoka

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Hiroshi Nagaoka  (The University of Electro-Communications, Japan)
Tuesday, August 03, 2010, room Hörsaal 1
Information geometry of quantum relative entropy and some extension

The classical relative entropy plays a key role in information geometry as a bridge between the differential-geometrical structure of the space of probability distributions and the large deviation problems in probability theory. Unfortunately, this happy situation breaks down in the quantum setting except for some very restricted aspects. We discuss the problem to be addressed mainly in view of statistical inference of quantum states and show some new directions.

Date and Location

August 02 - 06, 2010
University of Leipzig
04103 Leipzig

Scientific Organizers

Nihat Ay
Max Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
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Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee

Shun-ichi Amari
Brain Science Institute, Mathematical Neuroscience Laboratory
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
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Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
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Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555

05.04.2017, 12:42